Finding the Fourth Proportional to 1,019.94, 1,528.70 and 775.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.94 : 1,528.70 = 775.72 : x
2. Step 2: Convert to fraction form
   1,019.94/1,528.70 = 775.72/x
3. Step 3: Cross multiply
   1,019.94x = 1,528.70 × 775.72
4. Step 4: Simplify right side
   1,019.94x = 1,185,843.16
5. Step 5: Solve for x
   x = 1,185,843.16/1,019.94
6. Step 6: Final answer
   x = 1,162.66